EquationDrivenPotDesigner

Equation Driven Pot Designer

1. Base Scaffold

Base Type

Base Option

Form Equation: r(θ, z, v)

Base Radius (R)

Height (cm)

2. Structural Geometry

Functional Build

Wall Thick (cm)

Bottom Thickness (cm)

Drain Radius (cm)

Top Cut (°)

Bot Flat (°)

Bot Cut (°)

Plate Height (cm)

Plate Opening Angle (°)

Plate Radius Extra (cm)

3. Surface Texture (External)

Texture Type

Texture Option

Displacement: T(θ, z, v)

Texture Intensity (Multiplier)

4. Dual Pattern Color Layer

Pattern A Preset

Pattern B Preset

Primary mask description.

Secondary mask description.

Pattern A Mask: P₁(θ, z, v)

Pattern B Mask: P₂(θ, z, v)

Neither / Base

Pattern A Only

Pattern B Only

Overlap (A + B)

Two masks define four surface color states: neither, A only, B only, and A+B overlap.

Color Layer Depth (mm)

5. Mesh Resolution

Vertical Nodes

Radial Nodes (θ)

Pattern Vertical Nodes

Pattern Radial Nodes (θ)

6. Experimental Tool - Field Modifier

Modifier Type

Modifier Preset

Modifier: M(θ, z, v) → θ' = θ + strength · M(θ, z, v)

Modifier Strength

Modifier Target

Field modifiers remap the sampled coordinates before evaluating the selected target. This first version warps angular sampling only, which keeps the form pot-oriented and printable by default.

7. Experimental Tool - Field Distortion

Distortion Type

Distortion Option

Distortion Strength

Target Region

Anchor Behavior

Distortion Space

Distortion Math:
D(x, y, z, θ, z, v) → x' = x + strength·Dx, y' = y + strength·Dy, z' = z + strength·Dz

Dx(x, y, z, θ, z, v)

Dy(x, y, z, θ, z, v)

Dz(x, y, z, θ, z, v)

Distortion fields act after the base and texture fields are sampled, displacing the generated body in world XYZ space. Use wind, gravity, swirl, or pressure presets as starting points, then tune region and anchor behavior.

Ready.